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Give step-by-step solution with explanation and final answer:14. Basing their decisions on pessimism as in Example 2, where should (a) Ms. Cooper of Exercise 12 make her reservation; (b) the truck driver of Exercise 13 go first? EXAMPLE | A manufacturer of leather goods must decide whether to expand his plant capacity now or wait at least another year. His advisors tell him that if he expands now and economic conditions remain good, there will be a profit of $164,000 during the next fiscal year; if he expands now and there is a recession, there will be a loss of $40,000; if he waits at least another year and economic conditions remain good, there will be a profit of $80,000; and if he waits at least another year and there is a recession, there will be a small profit of $8,000. What should the manufacturer decide to do if he wants to minimize the expected loss during the next fiscal year and he feels that the odds are 2 to 1 that there will be a recession? EXAMPLE 2 With reference to Example 1, suppose that the manufacturer has no idea about the odds that there will be a recession. What should he decide to do if he is a con- firmed pessimist? Solution Being the kind of person who always expects the worst to happen, he might argue that if he expands his plant capacity now he could lose $40,000, if he delays expan- sion there would be a profit of at least $8,000 and, hence, that he will minimize the maximum loss (or maximize the minimum profit) if he waits at least another year.

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Give step-by-step solution with explanation and final answer:Uploaded ImageUploaded ImageUploaded Image14. Basing their decisions on pessimism as in Example 2, where should (a) Ms. Cooper of Exercise 12 make her reservation; (b) the truck driver of Exercise 13 go first? EXAMPLE | A manufacturer of leather goods must decide whether to expand his plant capacity now or wait at least another year. His advisors tell him that if he expands now and economic conditions remain good, there will be a profit of $164,000 during the next fiscal year; if he expands now and there is a recession, there will be a loss of $40,000; if he waits at least another year and economic conditions remain good, there will be a profit of $80,000; and if he waits at least another year and there is a recession, there will be a small profit of $8,000. What should the manufacturer decide to do if he wants to minimize the expected loss during the next fiscal year and he feels that the odds are 2 to 1 that there will be a recession? EXAMPLE 2 With reference to Example 1, suppose that the manufacturer has no idea about the odds that there will be a recession. What should he decide to do if he is a con- firmed pessimist? Solution Being the kind of person who always expects the worst to happen, he might argue that if he expands his plant capacity now he could lose $40,000, if he delays expan- sion there would be a profit of at least $8,000 and, hence, that he will minimize the maximum loss (or maximize the minimum profit) if he waits at least another year.

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Asked by: venkatesh
Created at: 2025-10-06 11:46:30

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Let's break down the question using the **pessimism (maximin/minimax)** approach, as shown in Example 2. ## Step 1: Understand the Pessimism (Maximin) Principle - **Pessimist’s Approach:** Always assume the worst-case scenario for each action, then pick the action with the best (least bad) worst-case scenario. - **In Example 2:** The manufacturer picks the alternative where the worst possible outcome is the least bad. --- ## Step 2: Apply to Each Sub-Question We need the details from Exercises 12 and 13 to be thorough, but we can describe the steps: ### (a) Ms. Cooper of Exercise 12 **Step 1:** List all options (e.g., different places to make a reservation). **Step 2:** For each option, find the worst possible outcome. **Step 3:** Choose the option with the best worst-case outcome (maximize the minimum profit or minimize the maximum loss). > **Without Exercise 12’s details**, the generic answer is: - Ms. Cooper should make her reservation at the place where the worst possible outcome is better (less bad) than the worst outcomes of all other options. --- ### (b) Truck Driver of Exercise 13 **Step 1:** List all possible first destinations/routes. **Step 2:** For each route, determine the worst-case scenario (e.g., longest time, most cost, etc.). **Step 3:** Choose the route where the worst-case is the best among all options. > **Without Exercise 13’s details**, the generic answer is: - The truck driver should choose the route where the worst-case outcome (e.g., maximum time or cost) is minimized. --- ## **Summary Table (Based on Example 2 Logic)** | Option | Worst-Case Outcome | Pessimist's Choice? | |----------------|--------------------|-----------------------------| | Option A | -40,000 | | | Option B | 8,000 | ← Best of worst cases | The pessimist picks **Option B** (wait), since losing $40,000 is worse than making a guaranteed $8,000. --- ## **Final Answers (Generalized):** ### (a) **Ms. Cooper should make her reservation at the place where the worst possible outcome (e.g., cost, availability, comfort) is better than the worst outcomes for the other places.** ### (b) **The truck driver should go first to the destination/route where the worst possible outcome is better than the worst-case outcomes for the other options.** **If you provide the details for Exercises 12 and 13, I can apply the exact numbers and give you the specific answers!**

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